Weak completions, bornologies and rigid cohomology

Let V be a complete discrete valuation ring with residue field k of positive characteristic and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V-algebra using completions of bornological V-algebras. This leads us to a funct...

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Detalles Bibliográficos
Autores principales: Cortiñas, G., Cuntz, J., Meyer, R., Tamme, G.
Formato: JOUR
Materias:
Algebraic geometry
Bornological algebras
Cyclic homology
Overconvergent completions
Positive characteristic
Rigid cohomology
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03930440_v129_n_p192_Cortinas
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:Let V be a complete discrete valuation ring with residue field k of positive characteristic and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V-algebra using completions of bornological V-algebras. This leads us to a functorial chain complex for a finitely generated commutative algebra over the residue field k that computes its rigid cohomology in the sense of Berthelot. © 2018 Elsevier B.V.

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